Find the smallest 4-digit number which is divisible by 18, 24 and 32.

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1148

1152

1154

1156

answer is B.

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Detailed Solution

Concept: First find the LCM of given numbers. Then use this result to determine the smallest 4-digit number which is divisible by 18, 24 and 32.
Factors of

Factors of

is the smallest number divisible by

Now, smallest 4-digit number

Remainder

But we have to find a number where the remainder is 0.
Required number

So,

is the smallest 4-digit number which is divisible by 18, 24 and 32.
Hence, the correct answer is option 2) 1152.

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